Josef Lauri Topics in graph automorphisms and reconstruction 9780521529037

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Автор: Josef Lauri
Название: Topics in graph automorphisms and reconstruction
Перевод названия: Автоморфизмы графов
ISBN: 9780521529037
Издательство: Cambridge Academ
Классификация:

Математические основы

Комбинаторика и теория графов

ISBN-10: 0521529034
Обложка/Формат: Paperback
Страницы: 172
Вес: 0.24 кг.
Дата издания: 17.03.2003
Серия: London Mathematical Society Student Texts
Иллюстрации: 22 line figures 141 exercises
Размер: 228 x 152 x 13
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: The aim of this book is to provide in depth coverage of selected areas of graph theory, and throughout the focus is mainly on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The four final chapters are devoted to the reconstruction problem, and here greater emphasis is given to those results that involve the symmetry of graphs. As much as possible, the authors have tried to present results and proofs which are not often to be found in textbooks. Any student who has mastered the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.
Дополнительное описание: Subject: Mathematics / Discrete Mathematics, Information Theory and Coding Theory
Readership: mathematics (graph theory, group theory), theoretical computer science
Level: graduate students, academic researchers
Format: 228 x 152 mm 172pp 22 line diagrams 141 exercises
Chapter Titles: 1. Graphs and groups: preliminaries; 2. Various types of graph symmetry; 3. Cayley graphs; 4. Orbital graphs and strongly regular graphs; 5. Graphical regular representations and pseudosimilarity; 6. Products of graphs; 7. Special cases of vertex-transitive graphs and digraphs; 8. The reconstruction conjectures; 9. Reconstructuring from subdecks; 10. Counting arguments in vertex-reconstruction; 11. Counting arguments in edge-reconstruction; Bibliography; List of notation; Index of terms and definitions.

Topics in graph automorphisms and reconstruction, Josef Lauri